Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400w |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
754636800 = 211 · 3 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-728,-7692] |
[a1,a2,a3,a4,a6] |
j |
834534530/14739 |
j-invariant |
L |
1.8399772374794 |
L(r)(E,1)/r! |
Ω |
0.91998861873971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200a1 81600fq1 61200bx1 20400t1 |
Quadratic twists by: -4 8 -3 5 |